...cut into two Parts, four times the Re&angle, contain'd under the whole Line, and one of the farts, together with the Square of the other Part, is equal to the Square of the Line, compounded of the whole Line, and the firft Part taken as one Line. T ET the Right L5ne AB be...

...Where'ibre, if a Right Line be any bow cut into two Partr, four times the Reftangle (ontained under the whole Line, and one of the Parts, together with the Square tf the other Par), is equal to the Square of the Line9 compounded of the -whole Line, and the firft...

...any how into two Parts, theQuadrupIe Reftangle under the whole Line, and one of the Parts added to the Square of the other Part, is equal to the Square of the whole and the other Part added to it, as if it were but one Line. ae Z| -- ! - 1 Let the whole Line...

...VIII. THEOREM. ]fa Right Line be any bow cut into two Parts, four 'Times the Re51angle> contained under the whole Line, and one of the Parts, together with...of the other Part, is equal to the Square of [the Line compounded of] the whole Line and the fir jt Part, taken as one Line. TET the Right Line AB be...

...fquare of AC. Wherefore, if a ftraight line, &c. Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...

...PROP. VIII. THEO R. > ... IF a ftraight line be divided into any two parts, four times the reSangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up ot the whole...

...THEORE M. If a Right Line be any bow cut into two Parts, four Times the ReElangle, contained under the whole Line, and one of the Parts, together with...Square of the other Part, is equal to the Square of \tbe Line compounded of ~\ the whole Line and thefirjl Part, taken as one Line. ,T. £ T the Right...

...PR O P. VIII. THEO R." TF a ftraight line be divided into any two parts, J. four times the reftangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...

...place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that the rectangle contained by the -whole line, and one of the parts, may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C...

...difference AC. G a PROP. BOOK IT, See N. I. « 34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...